D1 and D5-Brane Actions in AdS_m x S^n

TL;DR

This paper investigates the supersymmetric and kappa-invariant actions of D1 and D5-branes in various AdS x S backgrounds, highlighting progress and challenges in constructing fully invariant brane actions.

Contribution

It derives the D5-brane action in AdS_3 x S^3 and discusses the difficulties in formulating a kappa-invariant action for a D5-brane in the full AdS_3 x S^3 x T^4 space.

Findings

D5-brane action in AdS_3 x S^3 derived

Progress made towards full AdS_3 x S^3 x T^4 action

Challenges identified in achieving kappa-invariance

Abstract

The kappa-invariant and supersymmetric actions of D1 and D5-branes in AdS_3 x S^3 are investigated, as well as the action of a D5-brane in an AdS_5 x S^5 background. The action of a D5-brane lying totally in an AdS_3 x S^3 background is found. Some progress was made towards finding the action for the D5-brane free to move in the whole AdS_3 x S^3 x T^4 space, however the supersymmetric action found here is not kappa-invariant and the reasons the method used did not find a kappa-invariant solution are discussed.